Question

Write the equation of a line that is perpendicular to y= -x - 6 and that passes through the point (-9, -4).

Answer 1

y = x + 5

Explanation:

Perpendicular slope is opposite inverse so the perpendicular slope to -1x would be 1x

Then find b in y=mx+b

Plug in all the number

y=-9

x=-4

m=1

So, -4=1(-9)+b

1×-9=-9

+9 to both sides

5=b

Therefore,

y=x+5